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Finding the Third Proportional to 13,800,960 and 29,947,680

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Solution

The third proportional to 13,800,960 and 29,947,680 is: 64,985,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800,960 : 29,947,680 = 29,947,680 : x
  2. Step 2: Convert to fraction form
    13,800,960/29,947,680 = 29,947,680/x
  3. Step 3: Cross multiply
    13,800,960x = 29,947,680 × 29,947,680
  4. Step 4: Simplify right side
    13,800,960x = 896,863,537,382,400
  5. Step 5: Solve for x
    x = 896,863,537,382,400/13,800,960
  6. Step 6: Final answer
    x = 64,985,590.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.